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Simplifying 6(2a + -7) = 8a + -14 Reorder the terms: 6(-7 + 2a) = 8a + -14 (-7 * 6 + 2a * 6) = 8a + -14 (-42 + 12a) = 8a + -14 Reorder the terms: -42 + 12a = -14 + 8a Solving -42 + 12a = -14 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -42 + 12a + -8a = -14 + 8a + -8a Combine like terms: 12a + -8a = 4a -42 + 4a = -14 + 8a + -8a Combine like terms: 8a + -8a = 0 -42 + 4a = -14 + 0 -42 + 4a = -14 Add '42' to each side of the equation. -42 + 42 + 4a = -14 + 42 Combine like terms: -42 + 42 = 0 0 + 4a = -14 + 42 4a = -14 + 42 Combine like terms: -14 + 42 = 28 4a = 28 Divide each side by '4'. a = 7 Simplifying a = 7
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